GCF of 2567/293, 5644/2780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2567/293, 5644/2780 i.e 17/814540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2567/293, 5644/2780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2567/293,5644/2780?
Given fractions are 2567/293,5644/2780
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2567/293,5644/2780, numerators are 2567,5644
Denominators are 293,2780
The GCF of 2567,5644 is 17 .
LCM of 293,2780 is 814540.
The greatest common factor of 2567/293,5644/2780 = [GCF of 2567,5644]/[LCM of 293,2780]= 17/814540
Therefore, the GCF of 2567/293,5644/2780 is 17/814540.
To find the highest common factor of 2567,5644, we have to find the factors of both numbers and list the highest common factor.
The factors of 2567 are 1, 17, 151, 2567
The factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644
The HCF of 2567,5644 is 17.
Lets's calculate GCF of 2567,5644
| 17 | 2567, 5644 |
| 151, 332 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2567,5644 By Matching Biggest Common Factor Method
Now, list down the factors of 2567
:1,17,151,2567
Now, list down the factors of 5644
:1,2,4,17,34,68,83,166,332,1411,2822,5644
Greatest Common Factor
We found the factors 2567,5644 . The biggest common factor number is the GCF number.
So the greatest common factor 2567,5644 is 17.
Lets's calculate LCM of 293,2780
Given numbers has no common factors except 1. So, there LCM is their product i.e 814540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/814540
Therefore, the GCF of Fractions 2567/293,5644/2780 is 17/814540
Least Common Multiple of 293,2780 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 293,2780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,2780) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,2780) x common factors =1 x 1 = 1
LCM(293,2780) = ( 293 × 2780 ) / 1
LCM(293,2780) = 814540 / 1
LCM(293,2780) = 814540
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FAQs on GCF of Fractions of 2567/293, 5644/2780
1. What is the HCF of 2567,5644?
The HCF of 2567,5644 is 17
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2567/293, 5644/2780?
Answer: GCF of Numerators as per given numbers 2567/293, 5644/2780 is
GCF of Numerators i.e. for 2567,5644 is 17
LCM of denominators i.e. for 293,2780 is 814540.
Thus, GCF of Fractions is 17/814540.Finally, GCF of Fractions for 2567/293, 5644/2780 is 17/814540.